Global Ln-solution and its decay property for the Navier-Stokes equations in half-space R+n

Global existence and optimal decay rate

Global existence and optimal decay rate for the strong solutions in to the compressible Navier–Stokes equations

✍ Yanjin Wang; Zhong Tan 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 230 KB

We prove the global existence of a unique strong solution to the compressible Navier-Stokes equations when the initial perturbation is small in H 2 . If further that the L 1 norm of initial perturbation is finite, we prove the optimal L 2 decay rates for such a solution and its first-order spatial d